Mott transition for strongly interacting one-dimensional bosons in a shallow periodic potential

Year: 2016

Authors: Boéris G., Gori L., Hoogerland M. D., A. Kumar A., Lucioni E., Tanzi L., Inguscio M., Giamarchi T., D’Errico C., Carleo G., Modugno G., Sanchez-Palencia L.

Autors Affiliation: Univ Paris Saclay, CNRS, Inst Opt, Lab Charles Fabry, F-91127 Palaiseau, France; Univ Florence, LENS, I-50019 Sesto Fiorentino, Italy; Univ Florence, Dipartimento Fis & Astron, I-50019 Sesto Fiorentino, Italy; CNR INO, I-50019 Sesto Fiorentino, Italy; Univ Auckland, Dept Phys, Auckland, New Zealand; INRIM, I-10135 Turin, Italy; Univ Geneva, Dept Quantum Matter Phys, CH-1211 Geneva, Switzerland.

Abstract: We investigate the superfluid-insulator transition of one-dimensional interacting bosons in both deep and shallow periodic potentials. We compare a theoretical analysis based on quantum Monte Carlo simulations in continuum space and Luttinger liquid approach with experiments on ultracold atoms with tunable interactions and optical lattice depth. Experiments and theory are in excellent agreement. Our study provides a quantitative determination of the critical parameters for the Mott transition and defines the regimes of validity of widely used approximate models, namely, the Bose-Hubbard and sine-Gordon models.

Journal/Review: PHYSICAL REVIEW A

Volume: 93 (1)      Pages from: 011601-1  to: 011601-5

More Information: This research was supported by the European Union FET-Proactive QUIC (H2020 Grant No. 641122), the European Research Council ERC-StG ALoGlaDis (FP7/2007-2013 Grant No. 256294), the European Union Marie Curie IEF (FP7/2007-2013 Grant No. 327143), the French Ministere de l
KeyWords: Bosons; Crystal lattices; Intelligent systems; Optical lattices, Approximate model; Interacting bosons; Luttinger liquids; One-dimensional bosons; Periodic potentials; Quantitative determinations; Quantum Monte Carlo simulations; Superfluid-insulator transition, Monte Carlo methods
DOI: 10.1103/PhysRevA.93.011601

Citations: 45
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